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scoundrel [369]
2 years ago
8

Find the sum of the first 10 terms 40, 37, 34, 31

Mathematics
1 answer:
Bezzdna [24]2 years ago
4 0
<h3><u>Solution </u><u>:</u><u>-</u></h3>

Firstly finding common difference of the series

As we know that

• Common difference ( d ) = t₂ - t₁

→ Common difference = 37 - 40

→ Common difference = - 3

Now, as we know that

• Sn ( Sum of n terms ) = n/2 [ 2a + ( n - 1 ) d ]

Substituting n = 1. Since the sum of no. of terms is 10 . And substituting a = 40 ,since first term is 40

=> S₁₀ = 10/2 [ 2(40) + ( 10 - 1 ) -3 ]

=> S₁₀ = 5 [ 80 - 27 ]

=> S₁₀ = 5 × 53

=> S₁₀ = 265

Hence , sum of first 10 terms ( S₁₀ ) = 265

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The function y = f(x) is graphed below. What is the average rate of change of the
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The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

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f(a) = f(-3) = -20

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Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

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brainly.com/question/20784578

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3 0
1 year ago
Please need help with this one
Sergio039 [100]

Answer:

7 \times 1 >  \frac{5}{9} simplify \\

if you don't its still right though

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Georgia [21]

Answer:

<h2><u><em>x = 5</em></u></h2>

Step-by-step explanation:

What is the X

3x +15 and 2x + 20

assuming that the question is an equation

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-----------------

check

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the answer is good

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